{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Compute Error Between S Parameter Matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "import skrf as rf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "ns = rf.NetworkSet.from_zip(\"LFCN-2352+_S2P.zip\")\n",
    "ns.plot_s_db()\n",
    "plt.legend(loc=\"lower center\", ncols=2, fontsize=\"x-small\")\n",
    "plt.grid()\n",
    "plt.ylim(-40, 0)\n",
    "plt.xlim(0, 50e9)\n",
    "plt.title(\"LFCN-2352+\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compute Error and Plot Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "error_functions = [\n",
    "    \"average_l1_norm\",\n",
    "    \"average_l2_norm\",\n",
    "    \"maximum_l1_norm\",\n",
    "    \"average_normalized_l1_norm\",\n",
    "]\n",
    "\n",
    "for ef in error_functions:\n",
    "    error = rf.s_error(ntwkA=ns[2], ntwkB=ns[1], error_function=ef)\n",
    "    plt.plot(ns[2].frequency.f_scaled, 20 * np.log10(error), label=ef)\n",
    "\n",
    "plt.legend(fontsize=\"small\", ncols=2, loc=\"lower center\")\n",
    "plt.grid()\n",
    "plt.ylim(-50, 0)\n",
    "plt.xlim(0, 50000)\n",
    "plt.title(f\"Error Between {ns[2].name} and {ns[1].name}\", fontsize=\"small\")\n",
    "plt.xlabel(\"Frequency (MHz)\")"
   ]
  }
 ],
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